Bc. Jan Kvapil
Bachelor's thesis
Operátorové algebry
Operator algebras
Abstract:
V této bakalářské práci se zabýváme problematikou operátorových algeber. Zejména se zabýváme C*-algebrami a AF-algebrami a dokazujeme pro ně GNS-konstrukci. Na závěr se soustředíme na příklady těchto algeber, a to na prostoru Cantorova diskontinua a Penroseova dláždění.Abstract:
In this thesis we deal with the topic of operator algebras. We study mainly C*-algebras and AF-algebras and prove the GNS-construction for them. Finally, we focus on examples of these algebras, namely on the space of Cantor's discontinuum and Penrose tiling.
Language used: Czech
Date on which the thesis was submitted / produced: 6. 1. 2016
Identifier:
https://is.muni.cz/th/rv098/
Thesis defence
- Date of defence: 19. 2. 2016
- Supervisor: Mgr. David Kruml, Ph.D.
- Reader: doc. RNDr. Jan Paseka, CSc.
Full text of thesis
Contents of on-line thesis archive
Published in Theses:- světu
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Institution archiving the thesis and making it accessible: Masarykova univerzita, Přírodovědecká fakultaMasaryk University
Faculty of ScienceBachelor programme / field:
Mathematics / Mathematics
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